What is the coefficient of `x^(4)` in the expansion of `((1-x)/(1+x))^(2)` ?A. `-16`B. 16C. 8D. `-18`

What is the coefficient of `x^(4)` in the expansion of `((1-x)/(1+x))^

1.	What is the coefficient of `x^(4)` in the expansion of `((1-x)/(1+x))^(2)` ?A. `-16`B. 16C. 8D. `-18`
Answer» Correct Answer - B Consider `((1-x)/(1+x))^(2)=(1-x)^(2)(1+x)^(-2)` `=(1-2x+x^(2))(1+x)^(-2)` `=(1-2x+x^(2))(1-2x+3x^(2)-4x^(3)+5x^(4)-.....)` `therefore` Coefficient of `x^(4)` in `((1-x)/(1+x))^(2)=5 + 8 + 3 = 16`

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